Question

$\sqrt{0.4}$ is a/an

• A. natural number
• B. integer
• C. rational number
• D. irrational number

Hint:

The square root of a non-perfect square rational number is always irrational.

Answer 1

The Correct Option is D

Given:
We are to determine the nature of the number \( \sqrt{0.4} \)

Step 1: Express 0.4 as a fraction
\[ 0.4 = \frac{4}{10} = \frac{2}{5} \Rightarrow \sqrt{0.4} = \sqrt{\frac{2}{5}} \]

Step 2: Analyze the result
\(\sqrt{\frac{2}{5}}\) is a non-terminating, non-repeating decimal
It cannot be expressed as a ratio of two integers

Therefore:
\(\sqrt{0.4}\) is an irrational number

Final Answer:
Irrational number